Hey, so I REALLY want to rank up and I just need 2 more "Brainliests" so if you like my answer, can you please give me a Brainliest? If not, that's okay! Thank you so much!

7 0

3 years ago

If x = 4 tan(θ), find sec(θ) in terms of x

prisoha [69]

Answer:

$\sec \theta = \pm \frac{ \sqrt{ {x}^{2} + 16} }{4}$

Step-by-step explanation:

$\because \: x = 4 \tan \theta \\ \therefore\frac{x}{4} = \tan \theta....(1) \\ \\ \because \: { \sec}^{2} \theta = 1 + { \tan}^{2} \theta \\ \therefore \: \sec \theta = \pm\sqrt{1 + { \tan}^{2} \theta } \\ \therefore \: \sec \theta = \pm\sqrt{1 + { \bigg( \frac{x}{4} \bigg)}^{2} } \\ \therefore \: \sec \theta = \pm\sqrt{1 + { \frac{x^{2}}{16} } } \\ \therefore \: \sec \theta = \pm\sqrt{{ \frac{16 + x^{2}}{16} } } \\ \therefore \: \sec \theta = \pm \frac{ \sqrt{ {x}^{2} + 16} }{4}$

3 0

3 years ago

If 2^2x = 2^3, what is the value of x?

ryzh [129]

Answer:

x = 2

Step-by-step explanation:

4 0

3 years ago

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